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Let's Practice! (Algebra)

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

Given h(x)=x+4, h\left(x\right)=\sqrt{x+4},\  what is  f(60)?f\left(60\right)?  

a)

60\sqrt{60}  

b)

0

c)

8

d)

imaginary

2.

Given s(x)=x33x2+3x1s(x)=|x^3-3x^2+3x-1|  what is  f(1)?f\left(-1\right)?  

a)

6-6  

b)

-2

c)

8

d)

-8

3.

Given r(x)=2x+1x4r(x)=\frac{2x+1}{x-4}  what is  f(1)?f\left(1\right)?  

a)

-1

b)

0

c)

12\frac{1}{2}  

d)

1

4.

Given  f(x)=12x1f\left(x\right)=\frac{1}{2}x-1  , what is  f(4)?f\left(-4\right)?  

a)

-3

b)

0

c)

3

d)

4

5.

Given f(x)=2x25x and g(x)=3x3f\left(x\right)=2x^2-5x\ and\ g\left(x\right)=3x^3  . What is g(5)g\left(5\right)   ?

a)

3375

b)

375

c)

25

d)

45

6.

f(x)=2x and g(x)=2x7f\left(x\right)=2x\ and\ g\left(x\right)=2x-7  

Find (f + g)(2).

a)
-7
b)
1
c)
-1
d)
8
7.

If f(x)=x2+9f\left(x\right)=x^2+9 and  g(x)=x9g\left(x\right)=x-9 . Find  f(x)g(x)f\left(x\right)-g\left(x\right)


a)

x2+xx^2+x  

b)

x2xx^2-x

c)

x3x2x+18x^3-x^2-x+18  

d)

x2x+18x^2-x+18

8.

If f(x)=4x+1 and g(x)=4x3f\left(x\right)=4x+1\ and\ g\left(x\right)=4x-3 , then f(x)g(x)f\left(x\right)\cdot g\left(x\right)  

a)

16x2+8x316x^2+8x-3  

b)

16x28x+316x^2-8x+3

c)

16x28x316x^2-8x-3  

d)

16x216x316x^2-16x-3  

9.

If f(x)=3x210x+8 and g(x)=3x4f\left(x\right)=3x^2-10x+8\ and\ g\left(x\right)=3x-4  , then  (fg)(x)=\left(\frac{f}{g}\right)\left(x\right)=  

a)

3x43x210x+8\frac{3x-4}{3x^2-10x+8}  

b)

  x2x-2  

c)

  3x+83x+8  

d)

  3x+43x+4  

10.

If f(x)=x1 and g(x)=x2+7x8f\left(x\right)=x-1\ and\ g\left(x\right)=x^2+7x-8  , then  (fg)(x)\left(\frac{f}{g}\right)\left(x\right)

a)

1x+8\frac{1}{x+8}   

b)

x+8x+8  

c)

x3\frac{-x}{3}  

d)

3-3